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Finding the Fourth Proportional to 3,546.86, 5,323.26 and 3,137

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Solution

The fourth proportional to 3,546.86, 5,323.26 and 3,137 is: 4,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.86 : 5,323.26 = 3,137 : x
  2. Step 2: Convert to fraction form
    3,546.86/5,323.26 = 3,137/x
  3. Step 3: Cross multiply
    3,546.86x = 5,323.26 × 3,137
  4. Step 4: Simplify right side
    3,546.86x = 16,699,066.62
  5. Step 5: Solve for x
    x = 16,699,066.62/3,546.86
  6. Step 6: Final answer
    x = 4,708.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.